Question

What is the explicit formula for this seuence?

2, 10, 50, 250, 1250,...

Answer 1

`\longrightarrow{\green{2, 10, 50, 250, 1250,6250,31250}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

`2, 10, 50, 250, 1250,6250,31250 \\ \ \\ \ ✒ \: 2 * 5 = 10 \\ \\ ✒ \: 10 * 5 = 50 \\ \\ ✒ \: 50 * 5 = 250 \\ \\ ✒ \: 250 * 5 = 1250 \\ \\ ✒ \: 1250 * 5 = 6250 \\ \\ ✒ \: 6250 * 5 = 31250`

From the above, it is clear that a particular number in the sequence is 5 times the previous no. in the sequence.

`\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}`